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Finding the Fourth Proportional to 16,408.80, 22,644.09 and 9,334.80

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Solution

The fourth proportional to 16,408.80, 22,644.09 and 9,334.80 is: 12,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.80 : 22,644.09 = 9,334.80 : x
  2. Step 2: Convert to fraction form
    16,408.80/22,644.09 = 9,334.80/x
  3. Step 3: Cross multiply
    16,408.80x = 22,644.09 × 9,334.80
  4. Step 4: Simplify right side
    16,408.80x = 211,378,051.33
  5. Step 5: Solve for x
    x = 211,378,051.33/16,408.80
  6. Step 6: Final answer
    x = 12,881.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.